Atkin-Lehner |
3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27489l |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-339274835942427 = -1 · 32 · 78 · 113 · 173 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-28583,-2069875] |
[a1,a2,a3,a4,a6] |
j |
-448000000000/58852827 |
j-invariant |
L |
1.093510768174 |
L(r)(E,1)/r! |
Ω |
0.18225179469545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82467m2 27489f2 |
Quadratic twists by: -3 -7 |